AS++ T-splines: arbitrary degree, nestedness and approximation
type: Item
instance of: scholarly article
title: AS++ T-splines: arbitrary degree, nestedness and approximation
zbMATH Open document ID: 1479.41009
author: Xin Li
author: Xiliang Li
published in: Numerische Mathematik
publication date: 2021-08-27T00:00:00Z
review text: NURBS (non-uniform rational B-splines) and similar approximation methods such as the so-called T-splines are important methods in the applications of numerical analysis. In this article, T-splines are analysed, and the important properties such as recursive definitions and convergence orders considered. Nestedness features and recursive computation by ``refinement equations'' are especially important because they support numerical stability and efficient evaluations. The research on T-splines started with the cubic spline case, and this approach is generalised in this article. Several numerical examples are provided and approximation orders of optimal approximation are computed.
Mathematics Subject Classification ID: 41A15
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 65M15
zbMATH DE Number: 7387435
zbMATH Keywords: T-splines
zbMATH Keywords: optimal approximations
reviewed by: Martin D. Buhmann
describes a project that uses: tIGAr
MaRDI profile type: Publication
full work available at URL: s00211-021-01214-7
OpenAlex ID: W3185683332
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DOI: 10.1007/S00211-021-01214-7
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description: scientific article; zbMATH DE number 7387435